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Finding the Third Proportional to 429.05 and 540.84

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Solution

The third proportional to 429.05 and 540.84 is: 681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 540.84 = 540.84 : x
  2. Step 2: Convert to fraction form
    429.05/540.84 = 540.84/x
  3. Step 3: Cross multiply
    429.05x = 540.84 × 540.84
  4. Step 4: Simplify right side
    429.05x = 292,511.96
  5. Step 5: Solve for x
    x = 292,511.96/429.05
  6. Step 6: Final answer
    x = 681.77

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.